The spectrum of the twisted Dirac operator on Kahler submanifolds of the comlex projective space

Details The spectrum of the twisted Dirac operator on Kahler submanifolds of the comlex projective space The spectrum of the twisted Dirac operator on Kahler submanifolds of the comlex projective space

2011-01-25

arxiv.org/abs/1101.4830v1

Mathematics

Differential Geometry

Scientific paper

We establish an upper estimate for the small eigenvalues of the twisted Dirac
operator on Kahler submanifolds in Kahler manifolds carrying Kahlerian Killing
spinors. We then compute the spectrum of the twisted Dirac operator of the
canonical embedding \CP^d \rightarrow \CP^n in order to test the sharpness of
the upper bounds

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